Description

• Title:
  Schauder's fixed point and amenability of a group
• Creator:
  Bogatyi, Semeon A.;
  Fedorchuk, Vitaly V.
• Description:
  A criterion for existence of a fixed point for an affine action of a given group on a compact convex space is presented. From this we derive that a discrete countable group is amenable if and only if there exists an invariant probability measure for any action of the group on a Hilbert cube. Amenable properties of the group of all isometries of the Urysohn universal homogeneous metric space are also discussed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2007.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 29, No 2 (June 2007); 383 - 401;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.016/8851
• Subject:
  Amenable groups;
  fixed points;
  invariant measures;
  43A07;
  47H20;
  47H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.016
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other